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Finding the Fourth Proportional to 3,034.77, 4,187.70 and 1,708.44

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Solution

The fourth proportional to 3,034.77, 4,187.70 and 1,708.44 is: 2,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.77 : 4,187.70 = 1,708.44 : x
  2. Step 2: Convert to fraction form
    3,034.77/4,187.70 = 1,708.44/x
  3. Step 3: Cross multiply
    3,034.77x = 4,187.70 × 1,708.44
  4. Step 4: Simplify right side
    3,034.77x = 7,154,434.19
  5. Step 5: Solve for x
    x = 7,154,434.19/3,034.77
  6. Step 6: Final answer
    x = 2,357.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.